Answer:
1
Step-by-step explanation:
Choose two points on the line: (-5, 0) and (0, 5)
Let the first point 
= (-5, 0)
Let the second point 
= (0, 5)
Use the gradient formula:
----------------------------------------------------------------------------------------------------
If you want to find the equation of the line, use the point-gradient form of a linear equation: 
(where 
is the gradient and is a point on the line)
Substituting the values into the formula:
Therefore, the equation of the line is y = x + 5
Answer:
$15.75
Step-by-step explanation:
y × 100 = 5 × 15
100y = 75
100y ÷ 100 = 75 ÷ 100
y = 0.75
$15 - $0.75
$14.25
y × 100 = 10 × 15
100y = 150
100y ÷ 100 = 150 ÷ 100
y = 1.5
$14.25 + $1.50
$15.75
<h3>
<u>Explanation</u></h3>
- Factor the expression by using common factor.
We csn pull out 3x² out of the expression.
We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.
- The expression can still be factored. Factor the expression by using two brackets.
<h3>
<u>Answer</u></h3>
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
#SPJ1
5w-3 > -29
Add 3 at both sides
5w > -26
Divide 5 at both sides
w > -26/5
